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We present a theoretical analysis of the implementation of an entangling quantum gate between two trapped Ca$^+$ ions which is based on the dipolar interaction among ionic Rydberg states. In trapped ions the Rydberg excitation dynamics is…

Quantum Physics · Physics 2014-08-06 Weibin Li , Igor Lesanovsky

Ultracold trapped atomic ions excited into highly energetic Rydberg states constitute a promising platform for scalable quantum information processing. Elementary building blocks for such tasks are high-fidelity and sufficiently fast…

We study the dynamics of Rydberg ions trapped in a linear Paul trap, and discuss the properties of ionic Rydberg states in the presence of the static and time-dependent electric fields constituting the trap. The interactions in a system of…

Quantum Physics · Physics 2009-11-13 M. Mueller , L. -M. Liang , I. Lesanovsky , P. Zoller

Fast entangling gate operations are a fundamental prerequisite for quantum simulation and computation. We propose an entangling scheme for arbitrary pairs of ions in a linear crystal, harnessing the high electric polarizability of highly…

Quantum Physics · Physics 2025-05-01 Han Bao , Jonas Vogel , Ulrich Poschinger , Ferdinand Schmidt-Kaler

Trapped ions as one of the most promising quantum-information-processing platforms, yet conventional entangling gates mediated by collective motion remain slow and difficult to scale. Exciting trapped ions to high-lying electronic Rydberg…

In this chapter, we present an overview of experiments with trapped Rydberg ions and outline the advantages and challenges of developing applications of this new platform for quantum computing, sensing and simulation. Trapped Rydberg ions…

Quantum Physics · Physics 2020-07-28 Arezoo Mokhberi , Markus Hennrich , Ferdinand Schmidt-Kaler

Trapped Rydberg ions are a promising novel approach to quantum computing and simulations. They are envisaged to combine the exquisite control of trapped ion qubits with the fast two-qubit Rydberg gates already demonstrated in neutral atom…

Quantum Physics · Physics 2017-12-06 Gerard Higgins , Fabian Pokorny , Chi Zhang , Quentin Bodart , Markus Hennrich

Ion trap systems are a leading platform for large scale quantum computers. Trapped ion qubit crystals are fully-connected and reconfigurable, owing to their long range Coulomb interaction that can be modulated with external optical forces.…

The advent of digital neutral-atom quantum computers relies on the development of fast and robust protocols for high-fidelity quantum operations. In this work, we introduce a novel scheme for entangling gates using four atomic levels per…

Quantum Physics · Physics 2025-07-22 Giuliano Giudici , Stefano Veroni , Giacomo Giudice , Hannes Pichler , Johannes Zeiher

We introduce a scheme to entangle Rydberg ions in a linear ion crystal, using the high electric polarizability of the Rydberg electronic states in combination with mutual Coulomb coupling of ions that establishes common modes of motion.…

Atomic Physics · Physics 2019-10-16 Jonas Vogel , Weibin Li , Arezoo Mokhberi , Igor Lesanovsky , Ferdinand Schmidt-Kaler

Quantum entanglement is crucial for simulating and understanding exotic physics of strongly correlated many-body systems, such as high--temperature superconductors, or fractional quantum Hall states. The entanglement of non-identical…

Quantum Physics · Physics 2017-10-25 Y. Zeng , P. Xu , X. D. He , Y. Y. Liu , M. Liu , J. Wang , D. J. Papoular , G. V. Shlyapnikov , M. S. Zhan

High-fidelity entangling quantum gates based on Rydberg interactions are required for scalable quantum computing with neutral atoms. Their realization, however, meets a major stumbling block -- the motion-induced dephasing of the transition…

Quantum Physics · Physics 2019-04-17 Xiao-Feng Shi

Trapped Rydberg ions represent a flexible platform for quantum simulation and information processing which combines a high degree of control over electronic and vibrational degrees of freedom. The possibility to individually excite ions to…

Quantum Gases · Physics 2020-09-30 Filippo Maria Gambetta , Chi Zhang , Markus Hennrich , Igor Lesanovsky , Weibin Li

We provide a detailed theoretical and conceptual study of a planned experiment to excite Rydberg states of ions trapped in a Paul trap. The ultimate goal is to exploit the strong state dependent interactions between Rydberg ions to…

Atomic Physics · Physics 2012-01-16 F. Schmidt-Kaler , T. Feldker , D. Kolbe , J. Walz , M. Müller , P. Zoller , W. Li , I. Lesanovsky

Quantum simulation of interacting many-body spin systems is routinely performed with cold trapped ions, and systems with hundreds of spins have been studied in one and two dimensions. In the most common realizations of these platforms, spin…

Quantum Physics · Physics 2026-01-06 Wilson S. Martins , Markus Hennrich , Ferdinand Schmidt-Kaler , Igor Lesanovsky

The ability to perform entangling quantum operations with low error rates in a scalable fashion is a central element of useful quantum information processing. Neutral atom arrays have recently emerged as a promising quantum computing…

A novel two-qubit entangling gate for trapped-ion quantum processors is proposed theoretically and demonstrated experimentally. During the gate, double-dressed quantum states are created by applying a phase-modulated continuous driving…

In this paper, we propose a new Rydberg entangling gate scheme which we demonstrate theoretically to have an order of magnitude improvement in fidelities and speed over existing protocols. We find that applying this gate to donors in…

Quantum Physics · Physics 2021-07-28 Eleanor Crane , Alexander Schuckert , Nguyen H. Le , Andrew J. Fisher

We theoretically investigate trapped ions interacting with atoms that are coupled to Rydberg states. The strong polarizabilities of the Rydberg levels increases the interaction strength between atoms and ions by many orders of magnitude, as…

Quantum Physics · Physics 2016-07-27 Thomas Secker , Rene Gerritsma , Alexander W. Glaetzle , Antonio Negretti

We propose a scheme for controlling interactions between Rydberg-excited neutral atoms in order to perform a fast high-fidelity quantum gate. Unlike dipole-blockade mechanisms already found in the literature, we drive resonantly the atoms…

Quantum Physics · Physics 2009-11-11 M. Cozzini , T. Calarco , A. Recati , P. Zoller
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